Home
Class 12
MATHS
Verify Rolle.s theorem for f(x) = (sin x...

Verify Rolle.s theorem for `f(x) = (sin x)/( e^(x))` on `0 le x le pi`.

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

Similar Questions

Explore conceptually related problems

Verify Rolle's theorem for the function f(x) = x(x-2)^2, 0 le x le 2

Verify Rolle.s theorem for the function f(x)=x(x-2)^(2),0lexle2

Verify Rolle's theorem for the function f(x)=sin 2x in [0,(pi)/(2)]

Verify Rolle.s theorem for the function f(x)=x^(2)-3x+2 in the interval [1,2]

Verify Rolle.s theorem for the function f(x)=x^(2)+3x-10 in the interval [-5,2]

Verify Rolle's theorem for the function y=x^(2)+2,a=-2 and b=2 .

Verify the Rolle's theorem for the function f(x)=log(x^(2)+2)-log3 in [-1,1]

ARIHANT PRAKASHAN-VERY SIMILAR TEST 10-SECTION B (60 MARKS)
  1. If y= cos^(-1) { 2x sqrt(1-x^(2) ) } , find (dy)/(dx).

    Text Solution

    |

  2. If y = ( sin y )^(x), find (dy)/(dx).

    Text Solution

    |

  3. Verify Rolle.s theorem for f(x) = (sin x)/( e^(x)) on 0 le x le pi.

    Text Solution

    |

  4. Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...

    Text Solution

    |

  5. Solve (x+1) (dy)/(dx) = 2xy.

    Text Solution

    |

  6. Evaluate int e^(x) ((1- sin x)/( 1- cos x) ) dx

    Text Solution

    |

  7. Find the area of the region bounded by the curve y=x^(3) and the lines...

    Text Solution

    |

  8. Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 ...

    Text Solution

    |

  9. Find the vector equation of the plane passing through the points 3 hat...

    Text Solution

    |

  10. Prove that if a plane has the intercepts a, b, c and is at a distance ...

    Text Solution

    |

  11. Find the equation in vector and Cartesian from of the plane passing th...

    Text Solution

    |

  12. Prove that sin( cos^(-1) ""(3)/(5) + sin^(-1)""(5)/(13) ) = (63)/(65)

    Text Solution

    |

  13. Answer any three questions (b) A house wife wishes to mix together t...

    Text Solution

    |

  14. Answer any three questions (c) Show that f: [-1,1] to R, given by f(...

    Text Solution

    |

  15. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

    Text Solution

    |

  16. Answer any three questions (e) If a gt b gt c gt0, then prove that c...

    Text Solution

    |

  17. A bag contains 6 black and 3 white balls. Another bag contains 5 black...

    Text Solution

    |

  18. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

    Text Solution

    |

  19. Answer any three questions (c) If [{:(2,-1),(1,0),(-3,4):}]A = [{:(-...

    Text Solution

    |

  20. If A = [{:(2,5),(2,1):}] and B = [{:(4,-3),(2,5):}], verify that |AB| ...

    Text Solution

    |